Answer:
11 and 7
Step-by-step explanation:
Perimeter is all of the sides added together
11+11+7+7=36
Area of a rectangle is length x width
7*11=77
The answers are 7 and 11 for the length and width
Whether which one is the width and which is the length depends on which side is the longest.
The length of a rectangle is either 11 or 7 and the width of a rectangle is either 11 or 7.
Given, that the perimeter of a rectangle=36 feet and the area of a rectangle =77 square feet.
The formula for the area of a rectangle is Length×Width and the perimeter of a rectangle is 2(Length+Width).
Let the length of a rectangle be x and the width of a rectangle be y.
Now, 2(x+y)=36 feet.
⇒x+y=18
⇒x=18-y
Now, x×y =77 square feet
⇒(18-y)×y =77 square feet
⇒18y-y²=77
⇒y²-18y+77=0
⇒y²-11y-7y+77=0
⇒y(y-11)-7(y-11)=0
⇒y=11 and y=7
Therefore, the length of a rectangle is either 11 or 7 and the width of a rectangle is either 11 or 7.
To learn more about the area of the rectangle visit:
https://brainly.com/question/20693059.
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